Asymptotically Almost Periodic Solutions for a Class of Differential Equations with Two Perturbations

YAO Hui li; SUN Yuan yuan; WANG Jing nan; ZHANG Na

doi:10.15938/j.jhust.2020.02.019

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Asymptotically Almost Periodic Solutions for a Class of Differential Equations with Two Perturbations

更新时间：2026-08-31

- Asymptotically Almost Periodic Solutions for a Class of Differential Equations with Two Perturbations
- Vol. 25, Issue 2, Pages: 138-145(2020)
- 作者机构：
  
  哈尔滨理工大学理学院数学系,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2020.02.019
  CLC： O175
- Published：2020
- 稿件说明：
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YAO Hui li, SUN Yuan yuan, WANG Jing nan, et al. Asymptotically Almost Periodic Solutions for a Class of Differential Equations with Two Perturbations[J]. 2020, 25(2): 138-145.
DOI：

YAO Hui li, SUN Yuan yuan, WANG Jing nan, et al. Asymptotically Almost Periodic Solutions for a Class of Differential Equations with Two Perturbations[J]. 2020, 25(2): 138-145. DOI： 10.15938/j.jhust.2020.02.019.

摘要

摘要:在众多研究中，很多现象都是用微分方程作为数学模型的。但在建立方程的过程中，不可避免地会出现一些干扰力，这类方程称为带扰动的微分方程。利用压缩映像原理以及指数二分的相关结论，对一类带有两个较小的正扰动的微分方程的渐近概周期解给于讨论，给出了这类方程存在唯一的渐近概周期解的条件。

Abstract

Abstract:Differential equations are used as mathematical models for many phenomena in numerous studies. Some interference will inevitably appear in the process of establishing equations

this kind of equations are called differential equations with perturbations. Asymptotically almost periodic solutions for a class of differential equations with two smaller positive perturbations are discussed using related theories of the principle of compressed image and exponential dichotomy

the conditions which make this kind equation have unique asymptotically almost periodic solutions are given in this paper.

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Related Institution

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